Sentence examples for hence describes from inspiring English sources

This result is based on the assumption that each transform coefficient is compressed by a rate-distortion (RD) optimal WZ quantizer and hence describes the optimal performance theoretically attainable (OPTA) in Gaussian WZ-TC.

Then, the estimation of diffusion coefficients from voltammetric signals is equivalent to estimating the unknown function f(x) ↦ y, where x is a cyclic voltammogram (CV) and y ∈ R the diffusion coefficient D. Function f hence describes the relationship between experimentally acquired data (CVs) and an unknown physical property (D) of the electrochemical species.

Additionally, the model assumes rapid forward and reverse translocation of the polymerase and hence describes the translocation step simply with an equilibrium constant K δ.

Effectively, this TLS model of the protein core excludes the effects of hyper-flexible surface loops and, hence, describes the global disorder that may be attributed to inter-molecular lattice distortions and overall intra-molecular breathing or domain shifts.

Stefan models are valid for the high supersaturation case and hence describe the growth stage.

The probability for finding the ion at x i is hence described by left|Psi_{i} (x_{i})right|^{2} = frac{1}{sigma_{i}sqrt{2pi}}e^{-frac{1}{2}(frac{x_{i}}{sigma_{i}})^{2}}text.

This model is totally different from the analytical form of polynomial-basis response surfaces which cannot hence describe correctly the nodal displacement field of truss structures.

The classical film scientist is hence described as being driven by "paranoia, delusions of grandeur, obsessive behaviour", which finally makes him appear as the only responsible for what he has invented and developed (Haynes 2003, p. 252).

This was the first use of Fourier analysis to describe random noise and hence described it in terms of a spread of frequencies.

The carbonyl ligands in nickel tetracarbonyl are each bound through only a carbon atom and are hence described as monohapto ligands, but η1-notations are typically omitted in formulae.

The ODE-based LRC models described above result in deterministic solutions, and hence describe average population dynamics.